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3894147072 = 21132211271
BaseRepresentation
bin1110100000011011…
…1111100000000000
3101001101112011112100
43220012333200000
530433400201242
61442225030400
7165333463314
oct35006774000
911041464470
103894147072
111719165372
12908185400
134a0a0bb4a
1428d27bb44
1517bd1654c
hexe81bf800

3894147072 has 72 divisors (see below), whose sum is σ = 11247064920. Its totient is φ = 1298042880.

The previous prime is 3894147067. The next prime is 3894147073. The reversal of 3894147072 is 2707414983.

It is a tau number, because it is divible by the number of its divisors (72).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3894147073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87204 + ... + 124067.

It is an arithmetic number, because the mean of its divisors is an integer number (156209235).

Almost surely, 23894147072 is an apocalyptic number.

3894147072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3894147072 is an abundant number, since it is smaller than the sum of its proper divisors (7352917848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3894147072 is a wasteful number, since it uses less digits than its factorization.

3894147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211299 (or 211276 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3894147072 is about 62403.1014613857. The cubic root of 3894147072 is about 1573.2730980163.

The spelling of 3894147072 in words is "three billion, eight hundred ninety-four million, one hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 211271 422542 633813 845084 1267626 1690168 1901439 2535252 3380336 3802878 5070504 6760672 7605756 10141008 13521344 15211512 20282016 27042688 30423024 40564032 54085376 60846048 81128064 108170752 121692096 162256128 216341504 243384192 324512256 432683008 486768384 649024512 973536768 1298049024 1947073536 3894147072